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Finding the Fourth Proportional to 567.43, 855.86 and 499.80

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Solution

The fourth proportional to 567.43, 855.86 and 499.80 is: 753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.43 : 855.86 = 499.80 : x
  2. Step 2: Convert to fraction form
    567.43/855.86 = 499.80/x
  3. Step 3: Cross multiply
    567.43x = 855.86 × 499.80
  4. Step 4: Simplify right side
    567.43x = 427,758.83
  5. Step 5: Solve for x
    x = 427,758.83/567.43
  6. Step 6: Final answer
    x = 753.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.